Vertex Poisson algebras associated with Courant algebroids and their deformations; I

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dc.creatorYamskulna, Gaywalee
dc.date2005-09-06
dc.date.accessioned2026-07-07T05:22:59Z
dc.date.available2026-07-07T05:22:59Z
dc.descriptionThis is the first of two papers on vertex Poisson algebras associated with Courant algebroids, and their deformations. In this work, we study relationships between vertex Poisson algebras and Courant algebroids. For any $\N$-graded vertex Poisson algebra $A=\coprod_{n\in\N} A_{(n)}$, we show that $A_{(1)}$ is a Courant $A_{(0)}$-algebroid. On the other hand, for any Courant $\mathcal{A}$-algebroid $\mathcal{B}$, we construct an $\N$-graded vertex Poisson algebra $A=\coprod_{n\in\N}A_{(n)}$ such that $A_{(0)}$ is $\mathcal{A}$ and the Courant $\mathcal{A}$-algebroid $A_{(1)}$ is isomorphic to $\mathcal{B}$ as a Courant $\mathcal{A}$-algebroid.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0509122
dc.identifierhttp://arxiv.org/abs/math/0509122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76269
dc.subjectQuantum Algebra
dc.titleVertex Poisson algebras associated with Courant algebroids and their deformations; I
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